1Departamento de Matematicas. Universidad de Los Andes
Acta mathematica Universitatis Comenianae, Tome 83 (2014) no. 2, pp. 303-310
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Jesus Matute; Jesus Matute. On solutions of the Volterra equation in the space of bounded variation functions. Acta mathematica Universitatis Comenianae, Tome 83 (2014) no. 2, pp. 303-310. http://geodesic.mathdoc.fr/item/AMUC_2014_83_2_a11/
@article{AMUC_2014_83_2_a11,
author = {Jesus Matute and Jesus Matute},
title = { On solutions of the {Volterra} equation in the space of bounded variation functions},
journal = {Acta mathematica Universitatis Comenianae},
pages = {303--310},
year = {2014},
volume = {83},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2014_83_2_a11/}
}
TY - JOUR
AU - Jesus Matute
AU - Jesus Matute
TI - On solutions of the Volterra equation in the space of bounded variation functions
JO - Acta mathematica Universitatis Comenianae
PY - 2014
SP - 303
EP - 310
VL - 83
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2014_83_2_a11/
ID - AMUC_2014_83_2_a11
ER -
%0 Journal Article
%A Jesus Matute
%A Jesus Matute
%T On solutions of the Volterra equation in the space of bounded variation functions
%J Acta mathematica Universitatis Comenianae
%D 2014
%P 303-310
%V 83
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2014_83_2_a11/
%F AMUC_2014_83_2_a11
In this paper we use a Leray-Schauder alternative in order toprove the existence and uniqueness of solutions for the Volterra equation, with a initial condition, in the Banach space of the bounded variation functions.